# Thread: Infinite Geometric series simple question

1. ## Infinite Geometric series simple question

Hello guys,

I'm having problems with entering an answer on my current homework problem. My course is online and it's asking me

For what values of the common ratio r is it possible to find the sum of an infinite geometric series? (Enter your answer using interval notation.)?

I tried using (-1,1) because |r| < 1 , but it appears as a wrong answer I'm a wrong here?

r could be between -1 and 1

2. ## Re: Infinite Geometric series simple question

Originally Posted by vaironxxrd

I'm having problems with entering an answer on my current homework problem. My course is online and it's asking me

For what values of the common ratio r is it possible to find the sum of an infinite geometric series? (Enter your answer using interval notation.)?
I tried using (-1,1) because |r| < 1 , but it appears as a wrong answer, I'm a wrong here?
r could be between -1 and 1

What is the series or question?

3. ## Re: Infinite Geometric series simple question

Originally Posted by Plato
What is the series or question?
That was the question: For what values of the common ratio r is it possible to find the sum of an infinite geometric series? (Enter your answer using interval notation.)

But I found out the answer was: (-1,0)U(0,1)

4. ## Re: Infinite Geometric series simple question

Surely the series a + 0 + 0 + 0 + 0 + ... is convergent (to a), and this is a geometric series with r = 0... So the answer SHOULD be (-1, 1).

5. ## Re: Infinite Geometric series simple question

Originally Posted by Prove It
Surely the series a + 0 + 0 + 0 + 0 + ... is convergent (to a), and this is a geometric series with r = 0... So the answer SHOULD be (-1, 1).
That is exactly right. But realize that this is an online quiz-program.
As such, there is no accounting for the quirks.
Only the programmer knows why he/she thinks that answer is correct even though it is not.

Online courses appear to be the future of education.

If that is correct, we are doomed. In most cases, programmers are not good instructors.

6. ## Re: Infinite Geometric series simple question

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